Symplectic methods for the nonlinear Schrödinger equation

B.M. Herbst, F. Varadi and M.J. Ablowitz

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 37, issue 4, 353-369

Abstract: Various symplectic discretizations of the nonlinear Schrödinger equation are compared, including one for the integrable discretization due to Ablowitz and Ladik. The numerical experiments are performed with initial values taken near a homoclinic orbit, i.e., in a situation where integrability is crucial. It is shown that symplectic discretizations can sometimes lead to remarkable improvements, and that in even more sensitive situations some of our best numerical schemes fail.

Date: 1994
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378475494000247
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:37:y:1994:i:4:p:353-369

DOI: 10.1016/0378-4754(94)00024-7

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().